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Probability

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2025
A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up....
JEE Main Physics Easy
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Q JEE MAIN_2025
Let a random variable $X$ take values $0,1,2,3$ with $P(X=0)=P(X=1)=p, P(X=2)=P(X=3)$ and $E\left(X^2\right)=2 E(X)$. Then the value of $8 p-1$ is:
JEE Main Physics Medium
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Q JEE MAIN 2023
Three dice are rolled. If the probability of getting different numbers on the three dice is , where p and q are co-prime, then q...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $A$ and $B$ are two events such that $P(A)=0.7, P(B)=0.4$ and $P(A \cap \bar{B})=0.5$, where $\bar{B}$ denotes the complement of $B$, then $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades....
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Given three identical bags each containing 10 balls, whose colours are as follows :

A...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If the probability that the random variable $X$ takes the value $x$ is given by $P(X=x)=k(x+1) 3^{-x}, x=0,1,2,3 \ldots$, where $k$ is a constant, then...
JEE Main Mathematics Medium
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Q JEE-Main 2023
A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
A fair n (n > 1) faces die is rolled repeatedly until a number less than n appears. If the mean of the number of...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Two dice A and B are rolled, Let the numbers obtained on A and B be $\alpha$ and $\beta$ respectively. If the variance of $\alpha-\beta$...
JEE Main Mathematics Medium
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